PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMILINEAR DEGENERATE PARABOLIC EQUATION

被引：10

作者：

Li, Xin ^{[1
]}

Sun, Chunyou ^{[1
]}

Zhou, Feng ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2016年 / 47卷 / 02期

关键词：

Non-autonomous; degenerate parabolic equation; pullback attractor; L-P; REGULARITY;

D O I：

10.12775/TMNA.2016.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the pullback attractors for a non-autonomous semilinear degenerate parabolic equation u(t) - div(sigma-(x)del u) + f(u) = g(x, t) defined on a bounded domain Omega subset of R-N with smooth boundary. We provide that the usual (L-2(Omega), L-2(Omega)) pullback D-lambda-attractor in-deed can attract the D-lambda-class in L2+delta (Omega), where delta is an element of [0, infinity) can be arbitrary.

引用

页码：511 / 528

页数：18

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